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Arturiano [62]
2 years ago
6

What is the Bill of Rights?

Mathematics
1 answer:
defon2 years ago
7 0

Answer:

The list of laws that people of the United Stated needed to follow

Step-by-step explanation:

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A group of high school athletes has an average GPA of 2.7 with a standard deviation of 0.9. a)Find the percentage of athletes wh
mart [117]

Answer:

a) The percentage of athletes whose GPA more than 1.665 is 87.49%.

b) John's GPA is 3.645.

Step-by-step explanation:

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 2.7, \sigma = 0.9

a)Find the percentage of athletes whose GPA more than 1.665.

This is 1 subtracted by the pvalue of Z when X = 1.665. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{1.665 - 2.7}{0.9}

Z = -1.15

Z = -1.15 has a pvalue of 0.1251

1 - 0.1251 = 0.8749

The percentage of athletes whose GPA more than 1.665 is 87.49%.

b) John's GPA is more than 85.31 percent of the athletes in the study. Compute his GPA.

His GPA is X when Z has a pvalue of 0.8531. So it is X when Z = 1.05.

Z = \frac{X - \mu}{\sigma}

1.05 = \frac{X - 2.7}{0.9}

X - 2.7 = 1.05*0.9

X = 3.645

John's GPA is 3.645.

8 0
3 years ago
Write the number 0.5 in integers form a/b
Alja [10]
The answer is 1/2 in fraction form because 0.5 is half of 1
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3 years ago
Read 2 more answers
Find the limit. use l'hospital's rule if appropriate. if there is a more elementary method, consider using it. lim x→4 x2 − 16 x
ivolga24 [154]
Probably you are supposed to compute

\displaystyle\lim_{x\to4}\frac{x^2-16}{x^2-4x}

Factorize the numerator and denominator, then simplify:

\displaystyle\lim_{x\to4}\frac{(x-4)(x+4)}{x(x-4)}=\lim_{x\to4}\frac{x+4}x=\frac{4+4}4=2
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3 years ago
Help with 14, 15, and 16 please ?
lara31 [8.8K]
14. 36x^2 - 16
      4(9x^2 - 4) =
      4(3x + 2)(3x - 2) <==

15. 3x^2 + 10x - 8
      (3x - 2)(x + 4) <==

16. 5x^2 - 16x + 15 = 4x - 5
      5x^2 - 16x - 4x + 15 + 5 = 0
      5x^2 - 20x + 20 = 0
      5(x^2 - 4x + 4)
      5(x - 2)(x - 2)
      x - 2 = 0....x = 2
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3 years ago
Solve the following equation 3m^2=3-8m. Find both values
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3m² = 3 - 8m
0 = 3m² + 8m - 3
0 = (3m - 1 )(m + 3)

m = -3, 0.33

7 0
3 years ago
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